Problems are listed in approximate order of difficulty. A single dot (•) indicates straightforward problems involving just one main concept and sometimes requiring no more than substitution of numbers in the appropriate formula. Two dots (••) identify problems that are slightly more challenging and usually involve more than one concept. Three dots (•••) indicate problems that are distinctly more challenging, either because they are intrinsically difficult or involve lengthy calculations. Needless to say, these distinctions are hard to draw and are only approximate.
•• Imagine several identical spin-half particles all confined inside the two-dimensional rigid square box discussed in Section 8.3. Assume that the particles do not interact with one another and hence, that the allowed energies for each particle are exactly as shown in Fig. 8.2. (a) What are the lowest four allowed energies for any one particle? How many particles can be accommodated in each of these levels, given that they obey the Pauli exclusion principle? [Hint: In figuring degeneracies, do not forget that each particle has two possible orientations of its spin.] (b) Assuming that there are six particles in the box, draw an energy-level diagram similar to Fig. 10.6(b), showing the distribution of particles that gives the state of lowest energy for the system as a whole. (c) Do the same for the case where there are ten particles in the box.
We need at least 10 more requests to produce the solution.
0 / 10 have requested this problem solution
The more requests, the faster the answer.